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                ZCC Loves COT                </h1>
                <p>时间限制：1s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><div>After solves all problem of the series COT(count on a tree), ZCC feels bored and came up with a new COT problem, where letter T stands of Tetrahedron.</div>
<div>In this problem, Tetrahedron is define as a set of point:</div>
<div>T(n) = {(x, y, z) | 1&le;z&le;y&le;x&le;n}</div>
<div>Imagine T(n) is divided into n layers, the k-th layer contains k rows, of which the l-th row contains l points.</div>
<div>Moreover, we define sub-Tetrahedron a set of point, too:</div>
<div>sT(x, y, z, a) = {(x+i, y+j, z+k) | 0&le;k&le;j&le;i＜a}</div>
<div>First of all, you are given a Tetrahedron T(N), every point of T(N) has a value of 0.</div>
<div>Then, you should deal with M operation (Mxi, Myi, Mzi, Mai), means you should add 1 to every point&rsquo;s value if it belongs to sT(Mxi, Myi, Mzi, Mai).</div>
<div>Then, you should deal with Q queries (Qxi, Qyi, Qzi, Qai), you should output the sum of values of points in sT(Qxi, Qyi, Qzi, Qai).</div>
<div></div>
<p></p></p><hr/><h3>输入格式</h3><p><div>First line: three positive integer N, M, Q.(N&le;100, M&le;100000, Q&le;100000)</div>
<div>Then followed M lines, each line contains four integers Mxi, Myi, Mzi, Mai, which describe an operation.</div>
<div>Then followed Q lines, each line contains four integers Qxi, Qyi, Qzi, Qai, which describe a query.</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>For every query, output a line with one integer, the answer to the query.&nbsp;</div>
<p></p></p><hr/><h3>样例输入</h3><pre>2 1 2
1 1 1 2
1 1 1 2
2 1 1 1</pre><hr/><h3>样例输出</h3><pre>4
1</pre><hr/><h3>提示</h3><p><div>It is guaranteed, for every sT(x, y, z, a): 1&le;z&le;y&le;x&le;x+a-1&le;N.&nbsp;</div>
<p></p></p><hr/><h3>题目来源</h3><p>By 镇海中学</p>
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